827 B
827 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3ef1000cf542c50ff02 | Problem 131: Prime cube partnership | 5 | 301759 | problem-131-prime-cube-partnership |
--description--
There are some prime values, p, for which there exists a positive integer, n, such that the expression n3 + n2p is a perfect cube.
For example, when p = 19, 83 + 82×19 = 123.
What is perhaps most surprising is that for each prime with this property the value of n is unique, and there are only four such primes below one-hundred.
How many primes below one million have this remarkable property?
--hints--
euler131()
should return 173.
assert.strictEqual(euler131(), 173);
--seed--
--seed-contents--
function euler131() {
return true;
}
euler131();
--solutions--
// solution required